Comprehensive Evaluation of a New Type of Smoluchowski Temperature Jump Condition

Assam, Ashwani; Kalkote, Nikhil Narayan; Dongari, Nishanth; Eswaran, V.

doi:10.2514/1.j057385

Cited by 5 publications

(5 citation statements)

References 6 publications

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“…The result for the temperature at the wall is not available from DSMC. But, considering the studies done earlier (Le and Vu, 2016b; Assam et al , 2018c), we expect that the temperature profile predicted by PC2 and PC3 will be closer to the DSMC results.…”

Section: Resultsmentioning

confidence: 51%

“…The first order Maxwell Slip [equation (11)] and Smoluchowski temperature jump [equation (12)] boundary condition has been implemented in the solver and verified for various configuration of the micro/nano flows (Assam et al , 2017). The Le temperature jump condition and the pressure jump condition was verified in another work (Assam et al , 2018c, 2018b).…”

Section: Resultsmentioning

confidence: 69%

“…The Maxwell–Smoluchowski boundary conditions given by equations 11 and 12 are usually used with a homogeneous Neumann condition (zero normal gradient) for pressure (Le et al , 2012b; Le, 2010; Le and Roohi, 2014). The Le temperature jump condition given by equation (16) along with a homogeneous Neumann condition for pressure at the wall, however, leads to over-prediction of the pressure for different cases of hypersonic flow over a flat plate (Assam et al , 2018c). This observance is consistent with the notion that sliding friction which is taken into account for temperature, should tend to lower the pressure and so would require consideration even in the pressure boundary condition.…”

Section: Non-equilibrium Boundary Conditionmentioning

confidence: 99%

“…However, they did not investigate the effect of the jump condition on the prediction of other flow properties. In a previous study of hypersonic flow over a flat plate (Assam et al , 2018c), it was found that the Le temperature jump boundary condition should be complemented with a pressure jump boundary condition at the wall (Gupta et al , 1985; Greenshields and Reese, 2012). There it was shown that an over-prediction of pressure, especially at the leading edge of the flat plate, that is seen when using the Le temperature jump condition alone can be corrected by the pressure jump condition.…”

Section: Introductionmentioning

confidence: 99%

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Investigation of non-equilibrium boundary conditions considering sliding friction for micro/nano flows

Assam

Kalkote

Dongari

et al. 2019

HFF

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Purpose Accurate prediction of temperature and heat is crucial for the design of various nano/micro devices in engineering. Recently, investigation has been carried out for calculating the heat flux of gas flow using the concept of sliding friction because of the slip velocity at the surface. The purpose of this study is to exetend the concept of sliding friction for various types of nano/micro flows. Design/methodology/approach A new type of Smoluchowski temperature jump considering the viscous heat generation (sliding friction) has recently been proposed (Le and Vu, 2016b) as an alternative jump condition for the prediction of the surface gas temperature at solid interfaces for high-speed non-equilibrium gas flows. This paper investigated the proposed jump condition for the nano/microflows which has not been done earlier using four cases: 90° bend microchannel pressure-driven flow, nanochannel backward facing step with a pressure-driven flow, nanoscale flat plate and NACA 0012 micro-airfoil. The results are compared with the available direct simulation Monte Carlo results. Also, this paper has demonstrated low-speed preconditioned density-based algorithm for the rarefied gas flows. The algorithm captured even very low Mach numbers of 2.12 × 10−5. Findings Based on this study, this paper concludes that the effect of inclusion of sliding friction in improving the thermodynamic prediction is case-dependent. It is shown that its performance depends not only on the slip velocity at the surface but also on the mean free path of the gas molecule and the shear stress at the surface. A pressure jump condition was used along with the new temperature jump condition and it has been found to often improve the prediction of surface flow properties significantly. Originality/value This paper extends the concept of using sliding friction at the wall for micro/nano flows. The pressure jump condition was used which has been generally ignored by researchers and has been found to often improve the prediction of surface flow properties. Different flow properties have been studied at the wall apart from only temperature and heat flux, which was not done earlier.

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Section: Resultsmentioning

confidence: 51%

Section: Resultsmentioning

confidence: 69%

Section: Non-equilibrium Boundary Conditionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Investigation of non-equilibrium boundary conditions considering sliding friction for micro/nano flows

Assam

Kalkote

Dongari

et al. 2019

HFF

Self Cite

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“…Le et al, [36] and Assam et al, [37] presented the concept of temperature jump to improve the accuracy of computational fluid dynamics in simulating the nonequilibrium hypersonic gas flow. Accordingly, the heat flux acting on the surface has a normal direction.…”

Section: Introductionmentioning

confidence: 99%

Investigating the Effects of Wu's Slip and Smoluchowski's Slip on Hybrid TiO2/Ag Nanofluid Performance

Lim Yeou Jiann,

Sharena Mohamad Isa,

Noraihan Afiqah Rawi

et al. 2023

ARFMTS

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The high thermal conductivity of Titanium dioxide (TiO2) makes it ideal for heat transfer, particularly in a solar collector. However, nanofluids containing dissolved TiO2 nanoparticles tend to agglomerate. Thus, nanoparticle silver (Ag) is used to stabilize the nanofluid. This study looks at a hybrid nanoparticle of TiO2 and Ag, which are put into water to make a hybrid nanofluid, over a stretching plate. The effects of Wu’s velocity slip and Smoluchowski’s temperature slip are taken into consideration. Xue's thermal conductivity model for the hybrid nanofluid is employed. The governing equations are transformed by applying the similarity transformation technique and solved semi-analytically using the Homotopy Analysis Method. The effect of the multiple slips on the fluid profiles is graphically displayed and discussed. Results illustrate that the temperature profile is diminished by 42% due to Smoluchowski's temperature slip parameter, while the velocity profile is reduced by more than 40% due to the first and second-order Wu's slip parameters. These findings are important for optimizing the performance of the hybrid nanofluids. For example, in the solar collector, where a better understanding of heat transfer fluid characteristics can improve the stability of the hybrid nanofluid and the efficiency of eco-friendly energy storage.

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A generalised wall function including compressibility and pressure-gradient terms for the Spalart–Allmaras turbulence model

Joshi

Assam

Nived

et al. 2019

Journal of Turbulence

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Comprehensive Evaluation of a New Type of Smoluchowski Temperature Jump Condition

Cited by 5 publications

References 6 publications

Investigation of non-equilibrium boundary conditions considering sliding friction for micro/nano flows

Investigation of non-equilibrium boundary conditions considering sliding friction for micro/nano flows

Investigating the Effects of Wu's Slip and Smoluchowski's Slip on Hybrid TiO2/Ag Nanofluid Performance

A generalised wall function including compressibility and pressure-gradient terms for the Spalart–Allmaras turbulence model

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